2638699945728 has 1728 divisors, whose sum is σ = 9821121085440. Its totient is φ = 613122048000.

The previous prime is 2638699945681. The next prime is 2638699945753. The reversal of 2638699945728 is 8275499968362.

2638699945728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27203092176 + ... + 27203092272.

Almost surely, 2^{2638699945728} is an apocalyptic number.

2638699945728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2638699945728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910560542720).

2638699945728 is an abundant number, since it is smaller than the sum of its proper divisors (7182421139712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2638699945728 is a wasteful number, since it uses less digits than its factorization.

2638699945728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 241 counting only the distinct ones).

The product of its digits is 2821754880, while the sum is 78.

The spelling of 2638699945728 in words is "two trillion, six hundred thirty-eight billion, six hundred ninety-nine million, nine hundred forty-five thousand, seven hundred twenty-eight".